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Finding the Fourth Proportional to 7,492.32, 10,314 and 6,438.24

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Solution

The fourth proportional to 7,492.32, 10,314 and 6,438.24 is: 8,862.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.32 : 10,314 = 6,438.24 : x
  2. Step 2: Convert to fraction form
    7,492.32/10,314 = 6,438.24/x
  3. Step 3: Cross multiply
    7,492.32x = 10,314 × 6,438.24
  4. Step 4: Simplify right side
    7,492.32x = 66,404,007.36
  5. Step 5: Solve for x
    x = 66,404,007.36/7,492.32
  6. Step 6: Final answer
    x = 8,862.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.